Greater Manchester Mayor Andy Burnham previously urged the government to permit Labour mayors set local income taxes in England.
The plan would let regions throughout the nation hold additional revenue for schools and hospitals.
Critics say this could create imbalanced tax burdens between areas widely.
Burnham argued local leaders clearly recognise community priorities.
In Wales, local leaders many are concerned these ideas could proliferate if the UK breaks up tax decisions.
Politicians across parties clash over whether local control helps or harms fairness.
The fight today demonstrates how much Britain will divide authority over funding and public services.